Greatest Common Factor of 2535/908, 2709/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2535/908, 2709/688

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2535/908,2709/688

Given fractions are 2535/908,2709/688

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2535,2709

Greatest Common Factor of Numerators i.e. GCF of 2535,2709 is 3 .

LCM of Denominators means LCM of 908,688 as per the given fractions.

LCM of 908,688 is 156176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2535,2709

GCF of Fractions 2535/908,2709/688 is 3/156176

3 2535, 2709
845, 903

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2535,2709 By Matching Biggest Common Factor Method

Greatest Common Factor of 2535,2709 By Matching Biggest Common Factor Method

Factors of 2535

List of positive integer factors of 2535 that divides 2535 without a remainder.

1,3,5,13,15,39,65,169,195,507,845,2535

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Greatest Common Factor

We found the factors 2535,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 2535,2709 is 3.

Lets's calculate LCM of 908,688

2 908, 688
2 454, 344
227, 172

∴ So the LCM of the given numbers is 2 x 2 x 227 x 172 = 156176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156176

Therefore, the GCF of Fractions 2535/908,2709/688 is 3/156176

Least Common Multiple of 908,688 with GCF Formula

Least Common Multiple of 908,688 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 908,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,688) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(908,688) x common factors =4 x 1 = 4

LCM(908,688) = ( 908 × 688 ) / 4

LCM(908,688) = 624704 / 4

LCM(908,688) = 156176


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2535/908, 2709/688

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2535/908, 2709/688?

Answer: GCF of Numerators as per given numbers 2535/908, 2709/688 is

GCF of Numerators i.e. for 2535,2709 is 3

LCM of denominators i.e. for 908,688 is 156176.

Thus, GCF of Fractions is 3/156176.Finally, GCF of Fractions for 2535/908, 2709/688 is 3/156176.